I can only assume your looking for a lav faucet less the pop-up. HD and other store's should carry this item. If not change pop up with faucet. It will look better at least.
Most are made that way and the faucets without a pop-up have a plug in the hole. If I do not use the popup, I drop the rod through the hole and then secure it from moving up and down with a rod coupling clamped to it.
I've found one online and have to wait for couple weeks to get it. We never use popup drain. So it's just useless to have it instead buying the one without it.
If you were in the trade, you would want to have some extra drain assemblies to use for replacement purposes. I do the same thing with Delta shower faucets. I buy the tub/shower set and keep the pull down diverter spout and adapter. It is a lot cheaper this way than buying the spout individually.